Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/978, 911/792, 321/587 quickly i.e. 11697240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/978, 911/792, 321/587 is 11697240.
LCM(40/978, 911/792, 321/587) = 11697240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/978,911/792,321/587
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 40,911,321
Least Common Multiple of Numerators i.e. LCM of 40,911,321 is 11697240.
GCF of Denominators means GCF of 978,792,587 as per the given fractions.
GCF of 978,792,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,911,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 11697240
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 40,911,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,911,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,911,321) x common factors =1 x 1 = 1
LCM(40,911,321) = ( 40 × 911 × 321 ) / 1
LCM(40,911,321) = 11697240 / 1
LCM(40,911,321) = 11697240
Lets's calculate GCF of 978,792,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11697240/1
Therefore the LCM of Fractions 40/978,911/792,321/587 is 11697240
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 978,792,587 . The biggest common factor number is the GCF number.
So the greatest common factor 978,792,587 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 40/978, 911/792, 321/587?
Answer: LCM of Numerators as per given numbers 40/978, 911/792, 321/587 is
LCM of Numerators i.e. for 40,911,321 is 11697240
GCF of denominators i.e. for 978,792,587 is 1.
Thus, LCM of Fractions is 11697240.Finally, LCM of Fractions for 40/978, 911/792, 321/587 is 11697240.